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Finding the Fourth Proportional to 5,756.27, 7,942.25 and 4,165.22

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Solution

The fourth proportional to 5,756.27, 7,942.25 and 4,165.22 is: 5,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.27 : 7,942.25 = 4,165.22 : x
  2. Step 2: Convert to fraction form
    5,756.27/7,942.25 = 4,165.22/x
  3. Step 3: Cross multiply
    5,756.27x = 7,942.25 × 4,165.22
  4. Step 4: Simplify right side
    5,756.27x = 33,081,248.81
  5. Step 5: Solve for x
    x = 33,081,248.81/5,756.27
  6. Step 6: Final answer
    x = 5,747.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.